A formal mathematical object that represents a measurable quantity of a system. An observable is represented by a Hermitian linear operator acting on a Hilbert space.
Quantum Mechanics Meaning:
- Unlike classical physics, you do not always get a single deterministic number when you measure a quantum system.
- The possible outcomes of measuring an observable are the eigenvalues of its corresponding operator.
- The operator’s eigenvectors represent the special “definite states” where the system has an exact value for that property.
- Common examples include the position operator, momentum operator, and the Hamiltonian Operator.